Question

The difference between two numbers is 40. Twice the first number plus three times the second number

is 100. Find the numbers. Provide a full solution.

Answer 1

x = 44 and y = 4

Explanation:

Given:

x - y = 40

2x + 3y = 100

Isolate for x in the first equation:

x = 40 + y

Sub x = 40 + y into the second equation and solve for y:

2(40 + y) + 3y = 100

80 + 2y + 3y = 100

5y = 20

y = 4

Sub y = 4 into the equation for x:

x = 40 + 4

x = 44

Therefore, x = 44 and y = 4